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We study the growth of entanglement between two adjacent regions in atripartite, one-dimensional many-body system after a quantum quench. Combininga replica trick with a space-time duality transformation, we derive an exact,universal relation between the entanglement negativity and Renyi-1/2 mutualinformation which holds at times shorter than the sizes of all subsystems. Ourproof is directly applicable to any translationally invariant local quantumcircuit, i.e., any lattice system in discrete time characterised by localinteractions, irrespective of the nature of its dynamics. Our derivationindicates that such a relation can be directly extended to any system whereinformation spreads with a finite maximal velocity.

Entanglement Negativity and Mutual Information after a Quantum Quench: Exact Link from Space-Time Duality